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133678656 = 2632232081
BaseRepresentation
bin1111111011111…
…00011001000000
3100022112120122100
413331330121000
5233210204111
621133110400
73212151456
oct775743100
9308476570
10133678656
1169504831
1238928400
1321905cc7
1413a7a9d6
15bb08756
hex7f7c640

133678656 has 42 divisors (see below), whose sum is σ = 383167382. Its totient is φ = 44559360.

The previous prime is 133678591. The next prime is 133678673. The reversal of 133678656 is 656876331.

133678656 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 132710400 + 968256 = 11520^2 + 984^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 115465 + ... + 116616.

Almost surely, 2133678656 is an apocalyptic number.

133678656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133678656 is an abundant number, since it is smaller than the sum of its proper divisors (249488726).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

133678656 is a wasteful number, since it uses less digits than its factorization.

133678656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232099 (or 232086 counting only the distinct ones).

The product of its digits is 544320, while the sum is 45.

The square root of 133678656 is about 11561.9486246913. The cubic root of 133678656 is about 511.3136147509.

The spelling of 133678656 in words is "one hundred thirty-three million, six hundred seventy-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 232081 464162 696243 928324 1392486 1856648 2088729 2784972 3713296 4177458 5569944 7426592 8354916 11139888 14853184 16709832 22279776 33419664 44559552 66839328 133678656